Math / Algebra

QuestionMetropolis requires that for every 5 plots of land ushild for buildings, 2 plots of land be used for green space.
A company bought 133 plots of land. How many plots of land did they use for green space?

Studdy Solution

STEP 1

What is this asking? How many plots of land are used for green space if 2 out of every 7 plots must be green space, given a total of 133 plots? Watch out! Don't forget that the ratio is 2 green plots out of every 7 plots, not just 2 out of 5!

STEP 2

1. Calculate the fraction of green space.
2. Calculate the number of plots for green space.

STEP 3

We know that for every 5 building plots and 2 green plots, there are a total of $5 + 2 = 7$ plots.

STEP 4

This means that the fraction of plots used for green space is $\frac{2}{7}$ .
So out of every 7 plots, 2 are for green space.
Makes sense, right?

STEP 5

The company bought a total of 133 plots.
To find the number of green plots, we multiply the total number of plots by the fraction representing green space.

STEP 6

So, we have $133 \cdot \frac{2}{7}$ .
Let's do this multiplication!

STEP 7

We can write 133 as $\frac{133}{1}$ .
So, we have $\frac{133}{1} \cdot \frac{2}{7} = \frac{133 \cdot 2}{1 \cdot 7} = \frac{266}{7}$ .

STEP 8

Now, let's divide 266 by 7.
We get $\frac{266}{7} = 38$ .
Awesome!

STEP 9

The company used 38 plots for green space.

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QuestionMetropolis requires that for every 5 plots of land ushild for buildings, 2 plots of land be used for green space.
A company bought 133 plots of land. How many plots of land did they use for green space?

Studdy Solution

STEP 1

What is this asking? How many plots of land are used for green space if 2 out of every 7 plots must be green space, given a total of 133 plots? Watch out! Don't forget that the ratio is 2 green plots out of every 7 plots, not just 2 out of 5!

STEP 2

1. Calculate the fraction of green space.
2. Calculate the number of plots for green space.

STEP 3

We know that for every 5 building plots and 2 green plots, there are a total of $5 + 2 = 7$ plots.

STEP 4

This means that the fraction of plots used for green space is $\frac{2}{7}$ .
So out of every 7 plots, 2 are for green space.
Makes sense, right?

STEP 5

The company bought a total of 133 plots.
To find the number of green plots, we multiply the total number of plots by the fraction representing green space.

STEP 6

So, we have $133 \cdot \frac{2}{7}$ .
Let's do this multiplication!

STEP 7

We can write 133 as $\frac{133}{1}$ .
So, we have $\frac{133}{1} \cdot \frac{2}{7} = \frac{133 \cdot 2}{1 \cdot 7} = \frac{266}{7}$ .

STEP 8

Now, let's divide 266 by 7.
We get $\frac{266}{7} = 38$ .
Awesome!

STEP 9

The company used 38 plots for green space.

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QuestionMetropolis requires that for every 5 plots of land ushild for buildings, 2 plots of land be used for green space.A company bought 133 plots of land. How many plots of land did they use for green space?

Studdy Solution

STEP 1

What is this asking? How many plots of land are used for green space if 2 out of every 7 plots must be green space, given a total of 133 plots? Watch out! Don't forget that the ratio is 2 green plots out of *every* 7 plots, not just 2 out of 5!

STEP 2

1. Calculate the fraction of green space.2. Calculate the number of plots for green space.

STEP 3

We know that for every **5 building plots** and **2 green plots**, there are a total of 5+2=75 + 2 = 75+2=7 plots.

STEP 4

This means that the **fraction** of plots used for green space is 27\frac{2}{7}72​.So out of every **7 plots**, **2** are for green space.Makes sense, right?

STEP 5

The company bought a total of **133 plots**.To find the number of green plots, we **multiply** the **total number of plots** by the **fraction** representing green space.

STEP 6

So, we have 133⋅27133 \cdot \frac{2}{7}133⋅72​.Let's do this multiplication!

STEP 7

We can write 133 as 1331\frac{133}{1}1133​.So, we have 1331⋅27=133⋅21⋅7=2667\frac{133}{1} \cdot \frac{2}{7} = \frac{133 \cdot 2}{1 \cdot 7} = \frac{266}{7}1133​⋅72​=1⋅7133⋅2​=7266​.

STEP 8

Now, let's divide 266 by 7.We get 2667=38\frac{266}{7} = 387266​=38.Awesome!

STEP 9

The company used **38 plots** for green space.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionMetropolis requires that for every 5 plots of land ushild for buildings, 2 plots of land be used for green space.
A company bought 133 plots of land. How many plots of land did they use for green space?

What is this asking? How many plots of land are used for green space if 2 out of every 7 plots must be green space, given a total of 133 plots? Watch out! Don't forget that the ratio is 2 green plots out of every 7 plots, not just 2 out of 5!

1. Calculate the fraction of green space.
2. Calculate the number of plots for green space.

We know that for every 5 building plots and 2 green plots, there are a total of $5 + 2 = 7$ plots.

This means that the fraction of plots used for green space is $\frac{2}{7}$ .
So out of every 7 plots, 2 are for green space.
Makes sense, right?

The company bought a total of 133 plots.
To find the number of green plots, we multiply the total number of plots by the fraction representing green space.

So, we have $133 \cdot \frac{2}{7}$ .
Let's do this multiplication!

We can write 133 as $\frac{133}{1}$ .
So, we have $\frac{133}{1} \cdot \frac{2}{7} = \frac{133 \cdot 2}{1 \cdot 7} = \frac{266}{7}$ .

Now, let's divide 266 by 7.
We get $\frac{266}{7} = 38$ .
Awesome!

The company used 38 plots for green space.